A long-term deal at Ewood Park would appeal to Kane.
He told the Lancashire Telegraph: "I certainly wouldn't rule out joining Blackburn, it is a fantastic club.
"There were talks last year, but Chelsea wanted me to stay at Stamford Bridge and I signed a new contract that keeps me there until 2016.
"I really like Blackburn, I'm pleased to come back and I'm very grateful they wanted me back.
"I'd consider it if Blackburn came in for me, but right now I'm a Chelsea player and my main priority is to try and establish myself at Stamford Bridge before I think about anything else.
"Blackburn have given me a fantastic opportunity, though, and who knows what might happen in the future.
"I'm very settled and Gary Bowyer has created a great spirit, there's a real feeling of optimism about the place."
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